101694915120 has 40 divisors (see below), whose sum is σ = 315254237616. Its totient is φ = 27118643968.

The previous prime is 101694915017. The next prime is 101694915121. The reversal of 101694915120 is 21519496101.

101694915120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101694915120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101694915121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211864167 + ... + 211864646.

Almost surely, 2^101694915120 is an apocalyptic number.

101694915120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101694915120 is an abundant number, since it is smaller than the sum of its proper divisors (213559322496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101694915120 is a wasteful number, since it uses less digits than its factorization.

101694915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423728829 (or 423728823 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 101694915120 in words is "one hundred one billion, six hundred ninety-four million, nine hundred fifteen thousand, one hundred twenty".